ReSA - THE REVIEW SCHOOL OF ACCOUNTANCY CPA Review Batch 42 October 2021 CPA Licensure Exam Week No. 2 MANAGEMENT ADVISORY SERVICES C. Lee E. Arañas K. Manuel MAS-42C: COST-VOLUME-PROFIT (CVP) ANALYSIS CVP ANALYSIS - is a profit planning tool that deals with the relationship of profit with costs and sales volume. CONTRIBUTION MARGIN (CM) is a measure of company’s ability to cover variable costs with revenues. It is also known as marginal income, profit contribution, contribution to fixed cost or incremental contribution. CM = Sales – Variable Costs Unit CM = Unit Selling Price – Unit Variable Costs CM Ratio = CM ÷ Sales = Unit CM ÷ Unit Selling Price = Δ CM ÷ Δ Sales CM Ratio is also known as marginal ratio or profit-volume (P/V) ratio. BREAK-EVEN POINT (BEP) is the sales level at which profit is zero (i.e., total revenues = total costs). BEP (units) = Fixed Costs ÷ Unit CM BEP (peso sales) = Fixed Costs ÷ CM Ratio BEP Ratio = BEP ÷ Sales Sales (units) with Target Profit = (Fixed Costs + Target Profit*) ÷ Unit CM Sales (peso sales) with Target Profit = (Fixed Costs + Target Profit*) ÷ CM Ratio Sales (peso sales) with Target Profit Ratio = Fixed Costs ÷ (CM Ratio – Profit Ratio) * Target Profit must be expressed before tax: Pre-tax Profit = After-tax Profit ÷ (100% - tax rate) MARGIN of SAFETY is the maximum amount by which sales could decrease without incurring a loss. Margin of Safety (MS) = Sales – Breakeven Sales = Profit ÷ CM Ratio MS Ratio = MS ÷ Sales = Profit Ratio ÷ CM Ratio = 100% - BEP Ratio Like the break-even point, safety margin can also be expressed in units or in peso sales. INDIFFERENCE POINT is the level of volume at which total costs or profits are the same between two alternatives under consideration. Alternative A Alternative B . Cost-based: Fixed Costs + (Unit VC x Q) = Fixed Costs + (Unit VC x Q) Profit-based: (Unit CM x Q) – Fixed Costs = (Unit CM x Q) – Fixed Costs Legend: Q – number of units (indifference point) SALES MIX (a.k.a. product mix) is the proportion of different products that comprise the company’s total sales. Overall BEP Overall BEP (units) = Fixed Costs ÷ Weighted Average Unit CM = Fixed Costs ÷ Weighted Average CM Ratio (peso sales) DEGREE of OPERATING LEVERAGE (DOL) measures how sensitive the profit is to sales volume increases and decreases. It is also known as operating leverage factor. DOL = CM ÷ Profit before tax = Δ% in profit before tax ÷ Δ% in Sales = 1 ÷ MS Ratio CVP analysis assumptions and limitations ✓ Behavior of both sales and costs is linear and predictable throughout the entire relevant range of activity and within a specified time span. ✓ Fixed costs, unit variable costs, selling price and sales mix must behave as constants. ✓ There are no changes in inventory levels (i.e., production equals sales). ✓ Volume is the only factor affecting sales, variable costs and profit. ✓ Time value of money is ignored. EXERCISES: COST-VOLUME-PROFIT (CVP) ANALYSIS 1. KLM Company sells a single product. The company’s sales and expenses for a recent month follows: Sales (1,500 units) P 37,500 Less: Variable Costs 15,000 Contribution Margin P 22,500 Less: Fixed Costs 15,000 Profit P 7,500 REQUIRED: 1. Determine the following: A) Unit selling price B) Unit variable cost C) CM ratio (CMR) 2. For profit planning purposes, compute the following: A) Break-even point in units B) Break-even peso sales 3. What is the margin of safety at its present sales of P 37,500? 4. What unit sales are required to earn P 12,000 profit for the month? 5. What peso sales are required to earn an after-tax profit of P 7,200 (tax rate: 20%)? 6. What peso sales are required to reach a 10% return on sales or profit margin ratio? 7. Assuming KLM is currently selling 800 units per month and the company president believes that sales would increase if advertising were increased by P 6,000. How many units should sales increase to give KLM the same profit or loss that it is currently earning? (NOTE: Although current sales of 800 units are given, you need not use this info to solve the problem.) 8. At present, KLM pays its salespeople a monthly salary of P 4,000 without any commission. It considers a plan whereby salespeople receive a 10% commission, but their monthly salary would fall to P 2,500. What sales level will KLM be indifferent between the two compensation plans? Page 1 of 6 0915-2303213 www.resacpareview.com MAS-42C ReSA – THE REVIEW SCHOOL OF ACCOUNTANCY Week 2: COST-VOLUME-PROFIT (CVP) ANALYSIS 2. Tarlac Company sells two products, tables and chairs. Following is income budget for next month: Chairs Tables Total Unit sales 60 u 15 u 75 u Sales Variable Costs Contribution Margin Fixed Costs Profit P 750.00 600.00 P 150.00 P 300.00 225.00 P 75.00 P 1,050.00 825.00 P 225.00 90.00 P 135.00 REQUIRED: 1. How many units of chairs should be sold next month to break-even? 2. How many units of tables should be sold to earn a profit of P 120? 3. Sir K has recently opened a fitness gym. The income statement for its first year of operations follows: Sales P 250,000 Variable Costs (100,000) Contribution Margin P 150,000 Fixed Costs (120,000) Profit P 30,000 Sir K is not happy about the results of his gym’s first year of operations. He observed that despite the high contribution margin, profit was still low because of the high fixed costs. He therefore concludes that an increase in sales would not result a satisfactory increase in profit. REQUIRED: 1. Explain to Sir K that his conclusion is not right by computing the operating leverage factor. 2. If sales increase by 10%, then how many percent would profit increase, ceteris paribus? (NOTE: determine the percentage Δ in profit by using the operating leverage factor.) 4. Bicol’s break-even sales are P 528,000. The variable cost ratio is 60% while the profit ratio is 8%. REQUIRED: Determine the following: 1. Fixed Costs 2. Sales 3. Profit 4. Margin of Safety 5. Margin of Safety Ratio 6. Break-Even Ratio 7. Degree of Operating Leverage WRAP-UP EXERCISES 1. At the break-even point, fixed cost is always a. More than contribution margin c. Equal to the contribution margin b. Less than contribution margin d. More than the variable costs 2. Which of the following does NOT affect a company’s break-even point? a. Total fixed costs c. Unit selling price b. Unit variable cost d. Number of units sold 3. Contribution margin is best defined as the amount available to cover a. Variable costs c. Variable costs and profit b. Fixed costs and profit d. Variable costs and fixed costs 4. When volume equals zero units, a. Fixed cost equals zero c. Net income equals zero b. Total costs equal zero d. Variable cost equals zero 5. An increase in the income tax rate a. Raises the break-even point b. Lowers the break-even point c. Increases sales required to earn a particular after-tax profit d. Decreases sales required to earn a particular after-tax profit 6. In CVP analysis, which of the following is should be subtracted from fixed cost in the numerator? a. Unit contribution margin c. Predicted operating loss b. Variable costs d. Predicted operating profit 7. A company with a negative margin of safety also has a (an) a. Operating loss c. Sales above its break-even point b. Operating profit d. Sales equal to its break-even point 8. Operating leverage factor = a. Gross margin ÷ profit after tax c. Contribution margin ÷ profit after tax b. Gross margin ÷ profit before tax d. Contribution margin ÷ profit before tax 9. Degree of operating leverage measures how sensitive the profit is to a given change in a. Selling price c. Fixed costs b. Sales volume d. Variable costs 10. Under CVP analysis, which of the following is NOT assumed to be constant? a. Unit variable cost c. Unit fixed cost b. Unit selling price d. Sales mix 11. The costing method that lends itself to break-even analysis is: a. Normal c. Variable b. Standard d. Absorption Page 2 of 6 0915-2303213 www.resacpareview.com MAS-42C ReSA – THE REVIEW SCHOOL OF ACCOUNTANCY Week 2: COST-VOLUME-PROFIT (CVP) ANALYSIS SELF-TEST QUESTIONS - with suggested answers (Sources: CMA/CIA/RPCPA/AICPA/Various test banks) D 1. 2. C A 3. 4. C 5. Which cost is NOT subtracted from selling price to calculate contribution margin per unit? a. Variable manufacturing overhead c. Direct labor b. Variable selling expenses d. Fixed manufacturing overhead Jo Company sells its only product for P 60 per unit and incurs the following variable costs per unit: Direct material P 16 Direct labor 12 Manufacturing overhead 7 Total variable manufacturing overhead P 35 Selling expenses 5 Total variable costs P 40 Jo’s annual fixed costs are P 880,000. If prime costs increased by 20% and all other values remained the same, what would be Jo Company’s contribution margin ratio (to the nearest whole percentage)? a. 75% c. 24% b. 30% d. 20% Which of the following would decrease unit contribution margin the most? a. A 15% decrease in selling price c. A 15% decrease in variable expenses b. A 15% increase in variable expenses d. A 15% increase in fixed expenses The most likely strategy to reduce the breakeven point would be to a. Increase both the fixed cost and the contribution margin b. Decrease both the fixed costs and the contribution margin c. Decrease the fixed costs and increase the contribution margin d. Increase the fixed costs and decrease the contribution margin In planning its operations for 2022 based on a sales forecast of P 6,000,000, Cynthia, Inc. prepared the following estimated data: Cost and Expenses C 6. B B 7. 8. C 9. D Variable Fixed Direct materials P 1,600,000 Direct labor 1,400,000 Factory overhead 600,000 900,000 Selling expenses 240,000 360,000 Administrative expenses 60,000 140,000 P 3,900,000 P 1,400,000 What would be the amount of peso sales at the break-even point? a. P 2,250,000 c. P 4,000,000 b. P 3,500,000 d. P 5,300,000 For the period just ended, Val Company generated the following operating results in percentages: Revenues 100% Cost of sales: Variable 50% Fixed 10% Total 60% Gross profit 40% Operating expenses: Variable 20% Fixed 15% Total 35% Net operating income 5% Total sales amounted to P 3 million. How much was the break-even sales? a. P 1,875,000 c. P 2,850,000 b. P 2,500,000 d. P 3,750,000 Once the breakeven point has been reached, operating income will increase by the a. Gross margin per unit for each additional unit sold b. Contribution margin per unit for each additional unit sold c. Fixed costs per unit for each additional unit sold d. Variable costs per unit for each additional unit sold The following data refer to cost-volume-profit relationship of Albert Company: Break-even point in units 1,000 Variable cost per unit P 250 Total fixed cost P 75,000 How much will be contributed to operating income by the 1,001st unit sold? a. P 250 c. P 75 b. P 325 d. Zero Which of the following would cause the break-even point to change? a. Sales increased b. Total production decreased c. Total variable costs increased as a function of higher production d. Fixed costs increased owing to additional equipment in physical plant Page 3 of 6 0915-2303213 www.resacpareview.com ReSA – THE REVIEW SCHOOL OF ACCOUNTANCY MAS-42C Week 2: COST-VOLUME-PROFIT (CVP) ANALYSIS 10. A company manufactures a single product. Estimated cost data regarding this product and other information for the product and the company are as follows (effective income tax rate: 40%): Sales price per unit P 40 Total variable production cost per unit 22 Sales commission (on sales) per unit 5% Fixed costs and expenses: Manufacturing overhead P 5,598,720 General and administrative P 3,732,480 What number of units must the company sell in the coming year in order to reach its breakeven point? C a. 388,800 units c. 583,200 units b. 518,400 units d. 972,000 units 11. The present break-even sale of Beng Company is P 550,000 per year. It is computed that if the fixed cost will go up by P 60,000, the sales required to break-even will also increase to P 700,000, without any change in the selling price per unit and on the variable expenses. How much is the total fixed cost after the increase of P 60,000? C a. P 200,000 c. P 280,000 b. P 220,000 d. P 330,000 12. One of the major assumptions limiting the reliability of breakeven analysis is that C a. Efficiency and productivity will continually increase b. Total variable costs will remain unchanged over the relevant range c. Total fixed costs will remain unchanged over the relevant range d. The cost of production factors varies with changes in technology 13. How much will income change if a company makes an advertising campaign given the following data? Cost of advertising campaign P 25,000 Increase in sales P 60,000 Variable expense as a percentage of sales 42% B a. P 200 increase c. P 15,000 increase b. P 9,800 increase d. P 25,200 increase 14. August Company sells Product Rhea for P 5 per unit. The fixed cost is P 210,000 and the variable cost is 60% of the selling price. What amount of sales is needed to realize a profit of 10% of sales? A a. P 700,000 c. P 472,500 b. P 525,000 d. P 420,000 15. Dalen Company prepared the following preliminary forecast concerning Product D for 2022: Selling price per unit P 10 Unit sales 100,000 Variable costs P 600,000 Fixed costs P 300,000 Based on a market study, Dalen estimates that it could increase the unit selling price by 15% and increase the unit sales volume by 10% if P 100,000 was spent in advertising. Assuming that Dalen incorporates these changes in its 2022 forecast, what should be the operating income for Product D? C a. P 175,000 c. P 205,000 b. P 190,000 d. P 365,000 16. Alice Corp. aims to earn a 25% return on its P 500,000 investment in equipment used in the manufacture of Product Y. Based on estimated sales of 10,000 units of Product Y, the cost per unit were estimated as follows: Variable manufacturing cost P 25 Fixed selling and administrative cost 10 Fixed manufacturing cost 5 What should be the price of Product Y? C a. P 45.00 c. P 52.50 b. P 50.00 d. P 55.00 17. Chris Company has fixed costs of P 100,000 and breakeven sales of P 800,000. What is its profit at P 1,200,000 sales? A a. P 50,000 c. P 200,000 b. P 150,000 d. P 400,000 18. Delfin Company sells a product to retailers for P 200. The unit variable cost is P 40 plus a selling commission of 10%. Fixed manufacturing cost totals P 1,000,000 per month, while fixed selling and administrative cost equals P 420,000. The income tax rate is 30%. What will be the required sales to achieve an after-tax profit of P 123,200? D a. 19,950 units c. 15,640 units b. 18,750 units d. 11,400 units 19. Heth Electronics Company is developing a new product, surge protectors for high-voltage electrical flows. The cost information for this product is as follows: Unit costs Direct materials P 3.25 Direct labor P 4.00 Distribution P 0.75 The company will also be absorbing P 120,000 of additional fixed costs associated with this new product. A corporate fixed charge of P 20,000 currently absorbed by other products will be allocated to this new product. Heth Electronics’ effective income tax rate is 40%. How many surge protectors (rounded to nearest hundred) must Heth Electronics sell at a selling price of P 14 per unit to increase after-tax income by P 30,000? (Hint: consider only additional fixed cost) D a. 10,700 units c. 20,000 units b. 12,100 units d. 28,300 units Page 4 of 6 0915-2303213 www.resacpareview.com ReSA – THE REVIEW SCHOOL OF ACCOUNTANCY MAS-42C Week 2: COST-VOLUME-PROFIT (CVP) ANALYSIS 20. A company has just completed the production of its only product. The product has taken 3 years and P 6,000,000 to develop. The following costs are expected to be incurred on a monthly basis for the normal production level of 1,000,000 pounds of the new product: 1,000,000 lbs. Direct materials P 300,000 Direct labor 1,250,000 Variable factory overhead 450,000 Fixed factory overhead 2,000,000 Variable selling, general and administrative expenses 900,000 Fixed selling, general and administrative expenses 1,500,000 Total P 6,400,000 If sales price per pound is P 5.90, the sales needed to earn P 3,000,000 profit in the first year would be C a. 13,017,000 pounds c. 15,000,000 pounds b. 14,000,000 pounds d. 25,600,000 pounds 21. Mars Company, which is subject to 40% tax, had the following operating data for the period just ended: Selling price per unit P 60 Variable cost per unit P 22 Fixed costs P 504,000 Management plans to improve the quality of its only product by way of implementing the following: (1) Replacing a component that costs P 3.50 with a higher-grade unit that costs P 5.50, and (2) Acquiring a P 180,000 packaging machine. Mars will depreciate the machine over a 10-year period with no estimated salvage value by the straight-line method of depreciation. If the company wants to earn after-tax of P 172,800 in the coming year, how many units must be sold? C a. 10,300 units c. 22,500 units b. 21,316 units d. 27,000 units 22. Cost-volume-profit relationships that are curvilinear may be analyzed linearly by considering only D a. Fixed and semi-variable costs c. Relevant variable costs b. Relevant fixed costs d. Relevant range of volume 23. Delphi Company has developed a new project that will be marketed for the first time during the next fiscal year. Although the Marketing Department estimates that 35,000 units could be sold at P 36 per unit, Delphi’s management has allocated only enough manufacturing capacity to produce a maximum of 25,000 units of the new product annually. The fixed costs associated with the new product are budgeted at P 450,000 for the year, which includes P 60,000 for depreciation on new manufacturing equipment. Delphi is subject to a 40% income tax rate. Data associated with each unit of product are presented on the next page: Variable Costs Direct material P 7.00 Direct labor 3.50 Manufacturing overhead 4.00 Total variable manufacturing cost P 14.50 Selling expenses 1.50 Total variable cost P 16.00 Delphi Company’s management has stipulated that it will not approve the continued manufacture of the new product after the next fiscal year unless the after-tax profit is at least P 75,000 the first year. The unit selling price to achieve this target profit must be at least D a. P 34.60 c. P 37.00 b. P 36.60 d. P 39.00 24. The following data pertain to the two products manufactured by Bong, Inc.: Per Unit Products Selling Price Variable Cost A P 240 P 140 B P 1,000 P 400 Fixed cost totals P 600,000 annually. The expected sales mix in units is 60% for Product A and 40% for Product B. How many units of the two products together must Bong sell to break-even? C a. 857 c. 2,000 b. 1,111 d. 2,459 25. Dan, Inc. is planning to produce two products, A and B. Dan is planning to sell 100,000 units of A at P 4 a unit and 200,000 units of B at P 3 a unit. Variable cost is 70% of sales for A and 80% of sales for B. In order to realize a total profit of P 160,000, what must the total fixed cost be? A a. P 80,000 c. P 240,000 b. P 90,000 d. P 600,000 26. Kris Company sells Products M, T and V. Kris sells three units of M for each unit of V and two units of T for each unit of M. The contribution margins are P 1 per unit of M, P 1.50 per unit of T, and P 3 per unit of V. Fixed costs are P600,000. How many units of Product T would Kris sell at the break-even point? C a. 40,000 units c. 240,000 units b. 120,000 units d. 400,000 units 27. There are so many assumptions inherent in CVP analysis. Which of the following is not one of these assumptions? D a. Cost and revenues are predictable and are linear over the relevant range b. Variable costs fluctuate proportionately with volume c. Changes in the beginning and ending inventory are insignificant in amount d. Sales mix will change as fixed costs increase beyond the relevant range Page 5 of 6 0915-2303213 www.resacpareview.com ReSA – THE REVIEW SCHOOL OF ACCOUNTANCY MAS-42C Week 2: COST-VOLUME-PROFIT (CVP) ANALYSIS 28. If the sales mix shifts toward higher contribution margin products, then over-all break-even point generally a. Decreases c. Remains constant b. Increases d. Is zero 29. Employee, Inc. had the following sales results for 2021: TV sets CD player Radios Peso sales component ratio 0.30 0.30 0.40 Contribution margin ratio 0.40 0.40 0.60 Employee, Inc. had fixed costs of P 2,400,000. The break-even sales in pesos for Employee, Inc. are: TV sets CD player Radios TV sets CD player Radios C a. P 1.8 M P 1.8 M P 3.6 M c. P 1.5 M P 1.5 M P2M b. P 1.8 M P 1.8 M P 1.6 M d. P 1,531,915 P 1,531,915 P 2,042,553 30. For a profitable company, the amount by which sales can decline before losses occur is known as the D a. Sales volume variance c. Variable sales ratio b. Hurdle rate d. Margin of safety 31. The margin of safety is a key concept of CVP analysis. The margin of safety is B a. The contribution margin rate b. The difference between budgeted sales and breakeven sales c. The difference between the breakeven point in sales and cash flow breakeven d. The difference between budgeted contribution margin and breakeven contribution margin 32. Dani Company has sales of P 100,000, fixed costs of P 50,000, and a profit of P 10,000. What is Dani Company’s margin of safety? B a. P 10,000 c. P 33,333 b. P 16,667 d. P 83,333 33. Operating leverage is greatest in companies that have B a. Low fixed cost, low unit variable cost c. Low fixed cost, high unit variable cost b. High fixed cost, low unit variable cost d. High fixed cost, high unit variable cost 34. Vivian Corporation sells sets of encyclopedias. Vivian sold 4,000 sets last year at P 250 a set. If the variable cost per set was P 175, and the fixed costs for Vivian were P 100,000, what is the Vivian’s degree of operating leverage (DOL)? C a. 0.67 c. 1.5 b. 0.75 d. 3.0 35. Ube Company’s variable costs are 75% of sales. At a sales level of P 400,000, the company’s degree of operating leverage is 8. At this level, fixed costs equal A a. P 87,500 c. P 50,000 b. P 100,000 d. P 75,000 36. A higher degree of operating leverage compared with industry average implies that the firm B a. Has higher variable costs b. Has profits that are more sensitive to changes in sales volume c. Is more profitable d. Is less risky 37. Candy Company’s variable costs are 70% of sales. At a P 300,000 sales level, the degree of operating leverage is 10. If sales increase by P 60,000, what will be the degree of operating leverage? D a. 12 c. 6 b. 10 d. 4 38. If used in cost-volume-profit analysis, sensitivity analysis C a. Determines the most profitable mix of products to be sold b. Allows the decision maker to use probabilities in the evaluation of decision alternatives c. Is done through various possible scenarios and computes the impact on profit of various predictions of future events d. Is limited because in cost-volume-profit analysis, costs are not separated into fixed and variable components 39. The indifference point is the level of volume at which a company D a. Earns no profit c. Earns large amount of profit b. Earns its target profit d. Earns the same profit under different schemes 40. Machine XX has fixed costs of P 225,000 and a variable cost of P 20. Machine YY has fixed costs of P 300,000 and a variable cost of P 14. What is the indifference point in units? B a. 11,250 c. 21,429 b. 12,500 d. Cannot be determined from given information 41. Bona Motors employs 40 sales personnel to market its line of automobiles. The average car sells for P 1,200,000 and a 6% commission is paid to the salesperson. Bona Motors is considering a change to a scheme that would pay each salesperson a salary of P 24,000 per month plus a 2% commission of the sales made by that salesperson. What is the amount of total car sales at which Bona Motors would be indifferent as to which plan to select? B a. P 30,000,000 c. P 22,500,000 b. P 24,000,000 d. P 12,000,000 42. John Corporation submitted to you the following condensed income statement: Sales (80% capacity) P 300,000 Variable costs P 180,000 Fixed costs 82,500 262,500 Net income P 37,500 What is the break-even point as a percentage of capacity? B a. 45% c. 67.85% b. 55% d. 68.75% A Page 6 of 6 0915-2303213 www.resacpareview.com